具體描述
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.
Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
用戶評價
##啓發式教學，當作參考書挺好的，但彆指望拿它當教材。
評分##復習數分
評分##書後麵的課後習題很難，而且後麵有些證明是需要靠習題裏麵的知識點，感覺作為課上的補充書籍比較不錯，但自學一定會有極大壓力
評分##啓發式教學，當作參考書挺好的，但彆指望拿它當教材。
評分##09/2017 - 12/2017 補標，學完前半部分，比某本一星的垃圾實分析教材好多瞭
評分##啓發式教學，當作參考書挺好的，但彆指望拿它當教材。
評分##是一本可以當小說讀的分析教材，讓人欲罷不能，非常適閤想要入門分析的朋友
評分##實分析
評分##是一本可以當小說讀的分析教材，讓人欲罷不能，非常適閤想要入門分析的朋友
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